PSLE Letters E, T and W formed a patten as shown below.
E T E W E E T E W E E T E W E . . .
If there are 64 'E', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of E T E W E = 5
Number of letters 'E' in 1 set of E T E W E = 3
Number of sets of 3 'E' if there are 64 'E'
= 64 ÷ 3
= 21 r 1
If the remainder is 1, there is 1 'E' and the largest possible number of letters is the final incomplete set is 2. (E T)
If the remainder is 2, there are 2 'E' and the largest possible number of letters is the final incomplete set is 4. (E T E W)
Greatest possible number of letters
= 21 x 5 + 2
= 105 + 2
= 107
Answer(s): 107